3952540800 has 1152 divisors, whose sum is σ = 17402636160. Its totient is φ = 875888640.

The previous prime is 3952540789. The next prime is 3952540903. The reversal of 3952540800 is 80452593.

3952540800 is a `hidden beast` number, since 39 + 5 + 2 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171849589 + ... + 171849611.

It is an arithmetic number, because the mean of its divisors is an integer number (15106455).

Almost surely, 2^3952540800 is an apocalyptic number.

3952540800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3952540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701318080).

3952540800 is an abundant number, since it is smaller than the sum of its proper divisors (13450095360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3952540800 is a wasteful number, since it uses less digits than its factorization.

3952540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3952540800 is about 62869.2357198654. The cubic root of 3952540800 is about 1581.0979923347.

The spelling of 3952540800 in words is "three billion, nine hundred fifty-two million, five hundred forty thousand, eight hundred".